The equation y = -4.9x^2 + 9.8x + 2 models the trajectory of a ball thrown in the air by a man, where y = the distance the ball is from the ground in meters and x = the elapsed time in seconds. What is the greatest distance the ball is from the ground? a) 2.2 meters
b) 9.8 meters
c) 6.9 meters
d) 4.9 meters

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft

c.

step-by-step explanation: it's not a. because 1/3 x 1/3 x 1/3 = 1/27 so that's not correct. | b. is also not correct because 7 x 7 1/3 is not actually 3 x 7 1/3 . and for d. multiplications are not additions so that left you with c. ( hope this out : d )